The purpose of convolving two functions in Matlab is to combine or multiply the functions in such a way that the output represents the combined effects of the two functions. This can be useful in signal processing, image processing, and other types of data analysis.
To plot this function in Matlab, you can use the "conv" function to convolve the two functions and then use the "plot" function to plot the resulting output. The code would look something like this:
t = linspace(0, 1, 100);
g = 3*cos(10*pi*t);
impulse = 4*impulse(t+0.1);
convolution = conv(g, impulse);
plot(t,convolution)
This will plot the convolution of the two functions over the range of t.
Convolving two functions can have various effects on the resulting plot depending on the properties of the functions. In general, it can smooth out or amplify certain features of the original functions, as well as introduce new features or distortions.
Yes, you can change the parameters of the functions being convolved. In the example given (g = 3 cos (10pi t) convolved with 4 Impulse (t +0.1)), you can change the amplitudes, frequencies, and time shifts of both functions to see how it affects the resulting plot.
There are a few limitations to convolving functions in Matlab. One limitation is that the functions being convolved must have the same number of data points. Another limitation is that the resulting plot may be affected by the resolution and range of the input data. Additionally, convolving large data sets can be computationally intensive and may require optimization techniques to improve performance.